Inequality Word Problems

100 POINTS!!!

1. 4 nights

2. $154

Step-by-step explanation:

1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be no more than 850 because that's Jenna's budget limit. So, we have:

478 + 93n ≤ 850

Subtract 478 from both sides:

93n ≤ 372

Divide by 93:

n ≤ 4

The maximum number of nights is 4 nights.

2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of at least $199. Seeing "at least", we know that we need to use the ≥ sign:

45 + m ≥ 199

Subtract 45 from both sides:

m ≥ 154

Abigail still needs at least $154.

Hope this helps!

1. 478 + 93n《850 ; max: 4

2. 45 + m》199 ; min: $154

Step-by-step explanation:

Cost: 478 + 93n

Budget: 850

478 + 93n《850

93n《372

n《4

Needed: atleast 199

Collected: 45 + m

45 + m》199

m》154

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)